Bureau: 6153 André Aisenstadt, Tel: 343-6583; Courriel: andrew@dms.umontreal.ca

Book: Harold Davenport's "Multiplicative number theory", 3rd edn, Springer.

Classtimes: Tuesday 9h00-10h30; Friday 10h30-12h00, in Andre-Aisenstadt 5183.

Class dates: From October 2 to December 19, 2012

Preparatory class dates: September 14 to September 28, 2012

2.1b, 2.2a,b,c, 2.6a. 2.7c,d, 2.8a,b, 2.8b,d,

2.9a,b,c,d,e, 2.10a,b,c,d,e, 2.11a,b,c,d, 2.13a.

3.1a, 3.2a,f,g, 3.3a,b, 3.5a,b, 3,6b.

4.1a,b,c,f,g, 4.2a, 4.3a,b, 4.4b,d, 4.5a, 4.6c,d, 4.7a.

7.1a, 7.6a,b, 7.9a,b,c.

9.1a,b, 9.3a, 9.5a, 9.8a,b,c,d.

11.1a, 11.4a,b, 11.5a, 11.8a,b,

This will be a first course in analytic number theory, in which we will study many aspects of the distribution of primes, including a proof of the prime number theorem, the Bombieri-Vinogradov theorem, and a proof of the recent celebrated result of Goldston, Pintz and Yildirim on short gaps between primes.

This course will be most suitable for students who have had a first course in number theory, and perhaps a course in complex analysis.